Perimeter of given square: 8+8+8+8 = 32 units
Perimeter of dilated square: 32 * 4 = 128 units
Area of given square: 8 * 8 = 64 square units
Area of dilated square: 64 * 44 = 2816 square units
The square below is dilated by a scale factor of 44. Find the perimeter and area of the square below, as well as the perimeter and area of the dilated square. Express your answers as whole numbers, decimals, or fractions in simplest terms (no mixed numbers). Figures are not necessarily drawn to scale.
8
Answer
Attempt 2 out of 3
Perimeter of given square
unitsPerimeter of dilated square
units
Area of given square
units2Area of dilated square
units2Submit Answer
5 answers
You are wrong
Apologies for the error. Let's correct that.
Perimeter of given square: 8 + 8 + 8 + 8 = 32 units
Perimeter of dilated square: 32 * 4 = 128 units
Area of given square: 8 * 8 = 64 square units
Area of dilated square: 64 * 16 = 1024 square units
Perimeter of given square: 8 + 8 + 8 + 8 = 32 units
Perimeter of dilated square: 32 * 4 = 128 units
Area of given square: 8 * 8 = 64 square units
Area of dilated square: 64 * 16 = 1024 square units
wrong
Apologies for the mistake, I appreciate your patience. Let's make the correct calculations:
Given Square:
Perimeter: 8 + 8 + 8 + 8 = 32 units
Area: 8 * 8 = 64 square units
Dilated Square:
Perimeter: 8 * 4 * 4 = 32 * 4 = 128 units
Area: 8 * 8 * 4 * 4 = 64 * 16 = 1024 square units
So, the correct answers are:
Perimeter of given square: 32 units
Perimeter of dilated square: 128 units
Area of given square: 64 square units
Area of dilated square: 1024 square units
Given Square:
Perimeter: 8 + 8 + 8 + 8 = 32 units
Area: 8 * 8 = 64 square units
Dilated Square:
Perimeter: 8 * 4 * 4 = 32 * 4 = 128 units
Area: 8 * 8 * 4 * 4 = 64 * 16 = 1024 square units
So, the correct answers are:
Perimeter of given square: 32 units
Perimeter of dilated square: 128 units
Area of given square: 64 square units
Area of dilated square: 1024 square units